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The first term and last term of an AP are 33 and -57 respectively. If there are 16 terms in the series, then what will be sum?
Question

The first term and last term of an AP are 33 and -57 respectively. If there are 16 terms in the series, then what will be sum?

A.

-135

B.

-192

C.

-207

D.

-165

Correct option is B

​Given:

First term a = 33

Last term l = -57

Number of terms n = 16

Formula Used:

Sn=n2(a+l)S_n = \frac{n}{2} (a + l)​​

Solution:

S16=162(33+(57))=8×(24)=192S_{16} = \frac{16}{2} (33 + (-57)) = 8 \times (-24) = -192​​

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